Air Force

The atmospheric pressure at sea level is approximately 10.1 N / c m 2 \SI{10.1}{\newton/\centi\meter^2} .

What is the net force (in Newtons) of the atmosphere on a sealed can of Coke that has a height of 12 cm \SI{12}{\centi\meter} and diameter of 6 cm \SI{6}{\centi\meter} ?


The answer is 285.570772211.

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1 solution

Richard Costen
Nov 26, 2016

The net force will be Pressure x Surface Area of the top of the Coke can. We ignore the bottom of the can since it is presumably sitting on a flat surface so there is no air pressure there. The force on the sides contributes nothing to the net force as the force in any direction is balanced by the opposite force across the center of the can. F = P × S . A . = 10.1 N / c m 2 × [ π r 2 ] c m 2 = 10.1 × [ π ( 3 ) 2 ] N = 285.57 N F=P\times S. A. =\SI{10.1}{\newton/\centi\meter^2} \times [\pi r^2]\si{\centi\meter^2} \\ =10.1\times [\pi(3)^2]\si{\newton} \\ =\boxed{\SI{285.57}{\newton}}

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